Results 241 to 250 of about 4,035 (281)

Existence for Impulsive Semilinear Functional Differential Inclusions

Qualitative Theory of Dynamical Systems, 2021
In this paper authors, investigate the existence of solutions for first-order impulsive semilinear functional differential inclusions in Banach spaces. Sufficient condition for the existence is obtained with the well-known Covitz and Nadler's fixed point theorem for multivalued contractions.
Yan Luo, Weibing Wang
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Detectability under impulse differential inclusions

2001 European Control Conference (ECC), 2001
This paper adapts to the case of impulse and hybrid control systems the results obtained by Aubin, Biechi & Pancanti on "detectability" of solutions of usual control systems. Measurements of the state, described by a detectability tube, that may be quantized, are gathered along time.
Jean-Pierre Aubin, George Haddad
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Viability and invariance kernels of impulse differential inclusions

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2002
Impulse differential inclusions provide a framework for modelling hybrid phenomena. In the context of impulse differential inclusions, verification for safety specifications and safe controller synthesis can be formulated as viability and invariance questions for appropriate sets of states.
Jean-Pierre Aubin, John Lygeros, Marc Quincampoix, Shankar Sastry 0001, Nicolas Seube   +4 more
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Impulsive Differential Inclusions

2013
Impulsive differential equations have been developed in modeling impulsive problems in physics, population dynamics, ecology, biotechnology, industrial robotics, pharmacokinetics, optimal control, etc. The questions of existence and stability of solutions for different classes of initial values problems for impulsive differential equations and ...
John R. Graef, Johnny Henderson, Abdelghani Ouahab   +2 more
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Topological Chaos for Differential Inclusions with Multivalued Impulses on Tori

International Journal of Bifurcation and Chaos, 2021
A multivalued version of the Ivanov inequality for the lower estimate of topological entropy of admissible maps is applied to differential inclusions with multivalued impulses on tori via the associated Poincaré translation operators along their trajectories.
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Impulsive differential inclusions on an unbounded domain

2015 3rd International Conference on Control, Engineering & Information Technology (CEIT), 2015
In this paper, we provide sufficient conditions for the existence of solutions of second order differential inclusions with initial conditions. Our results are obtained via application of the multi-valued version of Krasnoelskii type for the sum B+G; where B is linear or nonlinear operator and G is multi-valued operator.
Samia Youcefi, Abdelghani Ouahab
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On Continuous Dependence of Solutions of Impulsive Differential Inclusions and Impulse Control Problems

Cybernetics and Systems Analysis, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Plotnikov, V. A., Kitanov, N. M.
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Impulse differential inclusions: a viability approach to hybrid systems

IEEE Transactions on Automatic Control, 2002
Impulse differential inclusions are introduced as a framework for modeling hybrid phenomena. Connections to standard problems in the area of hybrid systems are discussed. Conditions are derived that allow one to determine whether a set of states is viable or invariant under the action of an impulse differential inclusion.
Jean-Pierre Aubin, John Lygeros, Marc Quincampoix, Shankar Sastry 0001, Nicolas Seube   +4 more
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Impulsive functional differential inclusions and fuzzy population models

Fuzzy Sets and Systems, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mengshu Guo, Xiaoping Xue 0001, Ronglu Li   +2 more
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Impulse Differential Inclusions Driven by Discrete Measures

2007
We consider systems modeled by a differential inclusion subject to impulsive, set valued state resets. We study existence of solutions for this class of systems and derive conditions for a set of states to be viable. From the point of view of hybrid systems, of central interest is the fact that the class of systems and the solution concept considered ...
John Lygeros, Marc Quincampoix, Tadeusz Rzezuchowski   +2 more
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